Benchmark Test Modules 1 7
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1 . What is the solution of 50 = x 3?. Does each equation have at least one solution? A 8x + = 8x 4 x = 5x + C 6x + 9 = 6x + 9 D 5 x = 0 x 3. Solve x + 7= 9 x. What is the value of x? 4. A living room of a house is 0.5 ft wide and 3.5 ft long. What is the approximate area of the room in square meters? A 6.9 m 03 m C 666 m D 80 m Use the circle below for 5 and 6. The length r is 6.50 inches. 5. What is the approximate circumference of the circle in centimeters? 6. What is the approximate area of the circle in square centimeters? 7. Simplify x + + x Which of the following is the most precise measurement? A in in. C 4.5 in. D 5 in. 9. What is the product of 75.0 ft and.05 ft written with the correct number of significant digits? 0. Which of the following is equivalent to 5( z+ 3) 4( + p)? A 5z 5z+ 9+ C 5z+ D zp. Which of the following expressions has two terms and a coefficient of 6? A C 6y x + 0 6y 8 y + 6 D 6 y. The equation a company uses to calculate pay checks is p = h + 0.5s where h is the number of hours worked and s is total sales. What is the equation solved for s? 3. Which statement describes the solutions of 5x 4? A real numbers less than 8 real numbers greater than 8 C real numbers less than or equal to 8 D real numbers greater than or equal to 8 0
2 4. Solve.5x What are the solutions to 3( x + 5) 3x + 0? A x 0 x 5 C all real numbers D no solutions 6. Write a situation that can be represented by the graph shown below. 9. What is the domain and range of the relation represented on the mapping diagram? Domain: Range: 0. ased on the graph, shown below, is 3 y = x a function? Explain your answer. 7. Which of the following sets of ordered pairs does not describe a function? A {(7, ),(5, 0),(3, 3),(, )} {(7, ),(5, 4),(3, 6),(, 8)} C {(7, ),(7, 0),(3, ),(, 4)} D {(7, 7),(5, 5),(3, 3),(, )} 8. Rewrite y x = 6x + using function notation.. Graph the solutions to f( x) = 4x 6. 0
3 . Which equation matches the graph shown? Use the information below for 5 7. The table shows the relationship between the number of hours Tiana works and the amount she is paid in dollars. This relationship can be represented by an arithmetic sequence. Hours (n) 3 4 Pay (f(n)) Write a recursive rule for the sequence. 6. Write an explicit rule for the sequence. A y = x C y = x y = x + D y = x 3. Does each sequence have a common difference of 9? A,,, 9, , 8, 7, 36, C 6, 7,,, 0 D 4.5, 4.5, 3.5, The explicit rule of a sequence is f(n) = n 6. Determine if each statement is True or False. A The second term of the function is. The fourth term of the function is 0. C The sequence is arithmetic. 7. How much will Tiana be paid if she works 8 hours? 8. What is the x-intercept of the line graphed below? 03
4 9. What best describes the slope of the line shown on the graph below? A positive C 0 negative D undefined 30. What is the slope of the line below? 3. Which equation describes a line that passes through (, 5) and (6, 3)? A y = x C y = x 6 y = x 4 D y = x 9 Use the information below for The table below shows the relationship between the number of hours a computer programming project takes and the total cost charged by a programmer. Hours (x) Cost (y) $575 $85 $075 $ Write a linear equation in slope-intercept form that describes the relationship in terms of x and y. 34. How much does the programmer charge per hour? 35. How much does the programmer charge for a 3-hour-long project? 36. Write an equation in point-slope form for a line that passes through (4, 5) and (6, ). 3. Does each of the following equations describe a line with a y-intercept of 5? A y + 6 = 4x 9 + y = 3x + 4 C y = 5 3x 37. Write an equation in standard form for a line with a slope of 6 that includes the point (3, ). 04
5 Answer Key enchmark Test Modules 7. x = 73. A.. C. D A cm cm 7. 0x 5 8. A ft 0. C.. s = 48h x 8 5. C 6. Possible Answer: It rained very hard for hours. Then the rainfall slowed down for an hour. Finally, after a total rainfall of 5 inches, the rain stopped. 7. C 8. f( x) = 4x + 9. D: { 9, 7,, 4} R: {, 0, 5} 0. ; the graph passes the vertical line test, so it is a function... D 3. A.. C. D. 4. A. True. True C. False 5. f() = 35; f( n) = f( n ) f( n) = ( n ) 7. $05 8. (8, 0) 9. D A.. C. 3. C 33. y = 5x $5 35. $ y 5 = 3 x x + y = 0 8
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